1011123120 has 240 divisors, whose sum is σ = 3679407360. Its totient is φ = 224947200.

The previous prime is 1011123103. The next prime is 1011123137. The reversal of 1011123120 is 213211101.

It is an interprime number because it is at equal distance from previous prime (1011123103) and next prime (1011123137).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 1011123096 and 1011123105.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10011070 + ... + 10011170.

It is an arithmetic number, because the mean of its divisors is an integer number (15330864).

Almost surely, 2^1011123120 is an apocalyptic number.

1011123120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011123120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1839703680).

1011123120 is an abundant number, since it is smaller than the sum of its proper divisors (2668284240).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1011123120 is a wasteful number, since it uses less digits than its factorization.

1011123120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 1011123120 is about 31798.1622110461. The cubic root of 1011123120 is about 1003.6940439034.

Adding to 1011123120 its reverse (213211101), we get a palindrome (1224334221).

The spelling of 1011123120 in words is "one billion, eleven million, one hundred twenty-three thousand, one hundred twenty".